Final answer:
It would take approximately 18 hours to fill the Olympic swimming pool.
Step-by-step explanation:
To calculate the time it would take to fill the pool, we need to divide the total volume of the pool by the rate at which water is being supplied.
The rate of water supply is given as 39 liters per second, so to find the time in seconds, we divide 2,500,000 liters by 39 liters per second.
2,500,000 L / 39 L/s
= 64,102.56 seconds
To convert seconds to hours, we divide by 3600 (since there are 3600 seconds in an hour).
64,102.56 s / 3600 s/h
= 17.81 hours
Therefore, it would take approximately 18 hours to fill the Olympic swimming pool.